Results 141 to 150 of about 935 (177)
Some of the next articles are maybe not open access.
On the trigonometric interpolation and the entire interpolation
Analysis in Theory and Applications, 1990In this paper, we study a kind of interpolation problems on a given nodal set by trigonometric polynomials of order n and entire functions of exponential type according as the nodal set is $$\left\{ {\frac{{2k\pi }}{n}} \right\}_{k = 0}^{n - 1} or \left\{ {\frac{{2k\pi ...
Liu Yongping
exaly +2 more sources
Trigonometric interpolation and wavelet decompositions
Numerical Algorithms, 1995The problem of explicit decomposition and reconstruction algorithms for nested spaces of trigonometric polynomials is studied. The pioneering result connecting multiresolution analysis to nested spaces of trigonometric polynomials is due to \textit{C. K. Chui} and \textit{H. N. Mhaskar} [Constructive Approximation 9, No.
J Prestin
exaly +2 more sources
Trigonometric sums by Hermite interpolations
Applied Mathematics and Computation, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mahmoud H. Annaby, Hassan Atef Hassan
openaire +1 more source
On an Interpolation by the Modified Trigonometric System
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Poghosyan, A. V., Bakaryan, T. K.
openaire +1 more source
A discrete trigonometric interpolation method
International Journal of Computer Mathematics, 2001Interpolation theory is a necessary and crucial tool for many applied engineering sciences. In this paper, we propose a new kind of 2-period interpolation of functions with period 2 pi at the nodes x(k) = x(k),(n) = k pi /n, (k = 0, 1,..., 2n - 1). We find out the necessary and sufficient conditions for regularity of this new interpolation problem ...
Tianzi Jiang, David J. Evans 0001
openaire +1 more source
Pointwise Estimates of the Trigonometric Interpolation
Acta Mathematica Hungarica, 1997This paper extends the theme of our article [J. Approximation Theory 77, No. 1, 31-41 (1994; Zbl 0809.41001)] in which we have investigated the remainder of the interpolation of a function \(f\) on a segment \([a,b]\) by algebraic polynomials \(p(f; \cdot )\) at the nodes \(x_i \in [a,b]\) of multiplicity \(r_i\), \(i=1,\dots,n\).
openaire +1 more source
On the Summability of Trigonometric Interpolation Processes
Acta Mathematica Hungarica, 2001Several processes in trigonometric interpolation can be obtained by finite sums of discrete Fourier series. The author shows that in many cases the convergence can be easily seen immediately from the explicit forms of the corresponding polynomials. Error estimates for the approximation can be also obtained by certain general results.
openaire +1 more source
Multidimensional trigonometric interpolation
Ukrainian Mathematical Journal, 1990An investigation and construction of trigonometric interpolation polynomials in nonstandard regions, including multiply connected, is carried out. A method of boundary diffeomorphism of the initial region onto a canonical region is proposed and a case of interpolation on a nonuniform net in the initial region is investigated.
openaire +1 more source
On the accuracy of trigonometric interpolation
Transactions of the American Mathematical Society, 1913Let f (x) be a function of x, with the period 2gr, which takes on known eralues, determined by physical measurement or otherwise, at 2n + 1 points equally spaced throughout a period. It is well known that a finite trigonow metric sum, of the nth order at most, which coincides with f ( x ) at the points in question, is given by formulse analogous to ...
openaire +1 more source
Approximation of trigonometric functions by trigonometric polynomials with interpolation
Journal of Contemporary Mathematical Analysis, 2010The paper studies the approximation order of periodic functions by trigonometric polynomials with interpolation in arbitrary set of nodes. A method of construction of Hermite interpolation polynomials is pointed out.
openaire +1 more source